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Finding the Third Proportional to 375,939 and 810,558

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Solution

The third proportional to 375,939 and 810,558 is: 1,747,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,939 : 810,558 = 810,558 : x
  2. Step 2: Convert to fraction form
    375,939/810,558 = 810,558/x
  3. Step 3: Cross multiply
    375,939x = 810,558 × 810,558
  4. Step 4: Simplify right side
    375,939x = 657,004,271,364
  5. Step 5: Solve for x
    x = 657,004,271,364/375,939
  6. Step 6: Final answer
    x = 1,747,635.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.